Answer: B. 24
Step-by-step explanation:
275+325= 600
600/25 = 24
Hence, 24 is the outcome
B. 24 is your answer
John cashed a check for $630. The teller gave him three 50-dollar bills, eighteen 20-dollar bills, and t 10-dollar bills. Determine the value of t.
$630
The value of t is $12.
Solution:
3 x 50 = 150
18 x 20 = 360
The sum is 360 + 150 = 510. Then subtract the value 510 from 630.
$630 - 510
$120
120 / 10 = 12
Subtract the null hypothesis mean from the sample mean. Divide the difference by the sample standard deviation. Multiply the result by the square root of the sample size. The t value measures the magnitude of the difference relative to the variability of the sample data. In other words, T is simply the calculated difference expressed in units of standard error.
The larger the size of T the more evidence against the null hypothesis. The important t-value is the limit of the t-distribution. The t distribution is a probability distribution used to compute population parameters when the sample size is small and the population variance is unknown. The T-score is used to analyze whether to support or reject the null hypothesis.
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17−{2+2[−1(7−10)]2}
help
Answer: 3
Step-by-step explanation: First, solve with the parenthesis. Next, solve the square brackets. Then, solve the quote brackets. And finally, solve the them after solving the brackets.
Answer:
Step-by-step explanation:
17-[4[-1(-3)2]
17-[4+3(2)]
17-[4+6]
17-10
7
The number of bacteria in a culture is given by the function
n(t) = 990e0.15t
where t is measured in hours.
(a) What is the relative rate of growth of this bacterium population?
Your answer is
percent
(b) What is the initial population of the culture (at t=0)?
Your answer is
(c) How many bacteria will the culture contain at time t=5?
It is discovered that:
a) 45 percent using the exponential function.
b) 950.
c)9013 bacterium
n(t)= n(0) e square( kt )
n(5) = 950 e square 0.45(5)
9013 microbes then.
The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria in the culture after 4 hours
A model for an exponential function is?
n(t)= n(0) e square( kt )
In which
n(0) represents the starting point.The constant rate of growth is k.The model in this quandary is:
So,
n(t)=950 e square( 0.45t)
also
k=0.45 n(0) = 950 ,and:
(A) 45 percent.
b) 950.
Item c:
We have that at t = 5:
n(5) = 950 e square 0.45(5)
9013 microbes then.
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emma buys a camping van for £23500 plus VAT at 20%.
she pays a deposit for the camping van. she then pays the rest of the cost in 18 equal payments of £940 each month. Find the ratio of the deposit emma pays to the total of the 18 equal payments. give your answer in its simplest form
The ratio of the deposit Emma paid to the total of the 18 equal payments in its simplest form is 2/3
What is total cost of the van?
The total cost of the van is the its cost plus the VAT of 20%, which is determined as the 20% of the cost, as computed below:
VAT on the cost of van=20%*cost of van
cost of van=£23500
VAT on the cost of van=20%*£23500
VAT on the cost of van=£4,700
total cost=£23500+£4,700
total cost=£28,200
sum of 18 monthly payments=18*£940
sum of 18 monthly payments=£16,920
deposit=total cost-sum of 18 monthly payments
deposit=£28,200-£16,920
deposit=£11,280
deposit as a ratio of monthly payment=11280/16,920
divide both by 5640
deposit as a ratio of monthly payment=2/3
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((3,5), (3,2), (0, 6), (2, 7)}
What is the input of the relation?
x = { 0, 3, 2}
The input of relation ((3,5), (3,2), (0, 6), (2, 7)} is x= { 0, 3, 2}.
What is a relation?A relation between two sets is a collection of ordered pairs that each contain one object from the other set. If the ordered pair (x,y) is in the relation and the object x is from the first set and the object y is from the second set, the objects are said to be related. A relation is a type of function.A relation from A to B is a collection of ordered pairs (a, b) in which an A and b B. A relation from A to B, in other words, is a subset of A B.
Here given a relation ,
((3,5), (3,2), (0, 6), (2, 7)}
We know that input x and output y together form a relation ,
Here x is the input.
so in this relation , Input = x = { 0, 3, 2}
Output y = { 2, 5,6,7}
∴ Input of the given relation ((3,5), (3,2), (0, 6), (2, 7)} is x = {0, 3, 2}.
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The manager of a toy store bought 10 toy cars. The cars came in p packages. Write an expression that shows how many toy cars were in each package.
we can write x = 10/p to represent the number of toy cars x, in each package.
What is an Expression?Expression: An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) Expressions can be thought of as similar to phrases. In language, a phrase on its own may include an action, but it doesn't make a complete sentence
The management purchased n cars, which equals 10.
There were p packages altogether, and each box contained one car. Per bundle, there should be x cars
Since there are x cars in each box, p packages would contain x*p cars
The equation can be written as 10 = x*p because we know there were p packages with 10 cars in them.
The multiplication of x and p is indicated by an asterisk (*).
You can write x = 10/p to represent the number of cars x, in each package.
The division symbol is denoted by a slash (/).
Because the number of cars and parcels can only be whole numbers, the values of x and p must also be whole numbers. Since the result of x and p is 10, both x and p must be factors of 10.
The factors of 10 are: 1,2,5 and 10
So, we get the following scenarios:
1 package with 10 cars inside it
2 packages each with 5 cars
5 packages each with 2 cars
10 packages each with 1 car
If the number of cars/packages must be greater than 1, then we have the following two cases:
2 packages each with 5 cars
5 packages each with 2 cars
we can write x = 10/p to represent the number of toy cars x, in each package.
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Please help Solve the following equations.
Answer: 0 & -7
Step-by-step explanation:
Answer:
12. 0
13. -7
Hope this helps :)
If you need an explanation just comment!
I need help finding how many notes there are? the ratio of coins to notes in a bag is 3 to 8. if there are a total of 24 coins how many notes are there?
The ratio of coins to notes in a bag is 3 to 8.
The total number of coins is 24.
Let there be y number of notes in the bag. Then we can write,
[tex]\frac{3}{8}=\frac{24}{y}[/tex]On solving we get,
[tex]\begin{gathered} 3y=24\times8 \\ y=\frac{24\times8}{3}=64 \end{gathered}[/tex]Thus there are 64 notes in the bag.
Solve the inequality
2>8−43h
The solution to the inequality expression given as 2 > 8 - 43h is h > 6/43
How to determine the solution to the inequality?The inequality expression is given as
2 > 8 - 43h
Subtract 8 from both sides of the inequality expression
So, we have the following expression
2 - 8 > 8 - 8 - 43h
Evaluate the difference in the above expression
So, we have the following expression
-6 > - 43h
Divide both sides of the inequality by -43
So, we have
-6/-43 > - 43h/-43
Evaluate the quotient
6/43 < h
Rewrite as
h > 6/43
Hence, the value of the inequality is h > 6/43
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Find the length of the sides of the special triangles
We will have the following:
Firs, we can see that once we find one side we will have both, since they are equal.
Now, using the law of sines:
[tex]\frac{4}{\sin(90)}=\frac{Z}{\sin(45)}\Rightarrow Z=\frac{4\sin (45)}{\sin (90)}[/tex][tex]\Rightarrow Z=2\sqrt[]{2}[/tex]So, the length of side Z is 2sqrt(2).
A trout was swimming 9 feet below the surface of a lake. It dove down 8 more feet to search for food. What is the position of the trout now relative to the surface?
To solve the problem, Denise subtracted
–
9–8 and came up with an answer of
–
17 feet. Is Denise correct? Why or why not?
The position of the trout now relative to the surface is -17 feet. Therefore, Denis is wrong.
What is an expression?It should be noted that a expression shows the relationship between the variables.
From the information, a trout was swimming 9 feet below the surface of a lake and it drove down 8 more feet to search for food.
The position will be the addition of the feets. This will be:
= -9 + (-8)
= -9 - 8
= -17 feet
The position is -17 feet.
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plss hurry i need to do this today
Answer:
I do not think that you can write √2 as a fraction. (4/3)² is 16/9.
Step-by-step explanation:
For √2 it cannot be written as a fraction because it has an infinite amount of decimals. For (4/3)² that equals 16/9 so you would place it on the second number line two ninths before 2.
Hope this helps!
"If marco uses the scale 3 cm to 100 mi.., are the distances longer or shorter, or the same sized. explain"
edit: I kinda need this quick before 3!
If the scale used is 3cm to 100mi, the distances will be larger, because 100 miles is a lot more than 3 centimeters.
Are the distances shorter or larger?A change of scale is what we use to represent large objects (or smaller objects) in diagrams.
They allow us for example to have a big drawing of a cell, or put an area of the size of a country in a A4 piece of paper.
In this case, the change of scale is:
3cm to 100mi
This means that each 3 centimeters in the real object will measure 100 miles in the scale diagram, so the distances in the diagram will be larger, as 100 miles is a lot more than 3 centimeters.
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2(x-0.1x-2.70)=56.70 step by step pls
For the given equation 2(x-0.1x-2.70)=56.70, the value of x is 7.76
How are equations used?The equals sign is used in mathematical formulas to show that two expressions are equal. The first stage in resolving a variable equation is determining the values of the variables that lead to equality. The variables for which the equation must be solved are known as the unknown variables, while the values of the unknown variables that satisfy the equality are referred to as the equation's solutions. Identity equations and conditional equations are the two types of equations.
Given equation, 2(x-0.1x-2.70) = 56.70
or, 2(0.9x-2.70) = 56.70
or, 1.8x - 5.40 = 56.70
or, 1.8x = 56.70+5.40
or, x = 62.10/1.8 = 7.76
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The cost of 5 kg of oranges is sane as the cost of 3 kg of apples. How many kilograms of oranges are required to exchange 9 kg of apples ?
Answer:
15kg of oranges.
Step-by-step explanation:
cost of 3kg of apples = cost of 5kg of oranges
cost of 9kg of apples which is (3 x 3) = cost of (5 x 3) kg of oranges
= cost of 15kg of oranges.
The ratio of boys to girls in a class is 4:3. There are 35 students in the class. How many students are boys?
Answer:
There are 15 boys.
Step-by-step explanation:
Let x represent the answer!
it would be 4x+3x=35
add 4x+3x
7x=35
divide 35 by 7
x=5
multiply 5 x 4 then you get 20 girls
then multiply 5 x 3 to get 15 boys.
your welcome <3
To convert miles per hour to feet per second, which conversion factor would not be used?
To convert miles per hour to feet per second the conversion factor that wouldn't be used is option d: 1 mi/5280 ft and 5 miles per hour will be equal to 7.34 feet per seconds.
As per the question statement, we are asked that which of the given conversion factors, will not be used for converting miles per hour to feet per second.
We should be knowing the following values for conversion:
we know, 1 mile = 1.6 km = 5280 feet
and 1 hour = 60 minutes = 3600 seconds.
Now, mi/hr * 1hr/60min * 1min/60sec * 5280ft/mi
Note that units all cancel out leaving only ft/sec
Hence option d : 1 mi/5280 ft is not appropriate for converting mi/hr to ft/sec.
For e.g., 5 miles per hour = 5*5280/3600
5 mil/hr = 7.34 ft/sec
Hence, to convert miles per hour to feet per second the conversion factor that wouldn't be used is option d: 1 mi/5280 ft and 5 miles per hour will be equal to 7.34 feet per seconds.
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Just this quick problem, thanks!
8.81(v − 89) − 10 = 16.43
Answer: v = 92
Step-by-step explanation:
8.81. (v – 89) – 10 = 16.43
8.810 +8.81. -89 – 10 = 16.43
8.81v – 784.09 – 10 = 16.43
8.81v – 794.09 = 16.43
8.81v – 794.09 = 16.43
(8.810 – 794.09) + 794.09 = 16.43 + 794.09
8.81v = 16.43 + 794.09
8.81v = 810.52
8.81v = 810.52
810.52
(8.81) 8.81
8.81
810.52 / 8.81
v = 92
Help please the image is attached!
Answer:
5+ ( n+10) 8(7) - n n/3 + 110 - 6(8) - n(1-n) - (2n) n(-n) +77. Two students solved the problems below. One of the students made an error. Explain the
student's error and how you would help the student get the correct answer.
MARIELBI
18.66 +3
6.33
NICO
62.4 13
+
4.8
Answer: If two students solved the problems below one of the students made an error. Mary is wrong while Nico is correct.
Error in calculation
Mary =66÷3 = 6. 33 (Wrong)
Nico= 62.4÷13=4.8 (Correct)
Hence.
Mary:
Using calculator 66/3 will gives us 22 and not 6.33.
66÷3=22
Nico
Using calculator 62.4/12 will give us 4.8 which means that Nico was correct.
Therefore If two students solved the problems below one of the students made an error. Mary is wrong while Nico is correct.
If h(x) is the inverse of f(x), what is the value of h(f(x))?
A.) 0
B.) 1
C.) X
D.) f(x)
The value of h(f(x)) is x which is the C option in the question.
It is given in the question that h(x) is the inverse of f(x).
We have to find the value of h(f(x)).
If h(x) is the inverse of f(x), we can write is as:-
[tex]f^{-1}(x)=h(x)[/tex]
Hence,
h(f(x)) = [tex]f^{-1}(f(x))=(f^{-1}f)(x) = x[/tex]
Hence, the value of h(f(x)) is x.
Inverse function
An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.
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Solve for x.
2x-6
4x + 18
x = [?]
X help please
help help help help help help help help help
Answer:
72 jars per minute
Hope this helps!
Step-by-step explanation:
432/6 is 72.
Please Help! Im Giving 25 Points!
Answer:
33
Step-by-step explanation:
because 18 divided by 6 is 3
and 11 times 3 is 33
Answer: 1. 33
Step-by-step explanation:
I say 33 because the short side on the one is 6 and is 18 on the other so they multiply by 3. That being said 11 times 3 is 33. I hope this helps! :)
True or False:
The Commutative Property of Addition states that for all expressions a and b, ab = ba
The answer to the given statement is FALSE. This is the commutative property of multiplication and not of addition.
What is the commutative property of addition?To "commute" is to move about or travel. According to the commutative property of addition, the sum is unaffected by changes in the order of the numbers being added.
The formula for the commutative property of numbers is A + B = B + A if two numbers A and B are supplied.
A + B = B + A
A × B = B × A
A - B ≠ B - A
A ÷ B ≠ B ÷ A
According to the commutative property formula, the result is unaffected by the sequence in which two numbers are added or multiplied. However, the order of the integers matters for subtracting and dividing any two real numbers, so it cannot be changed.
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expand and simplify (x+3)(x+5)
Answer:
x^{2} +8x+15
Step-by-step explanation:
Use Distributive Property:
(x+3)(x+5)
[tex]x^{2}+5x+3x+15[/tex]
[tex]x^{2} +8x+15[/tex] Answer
Answer: x ^ 2 + 8x + 15
Step-by-step explanation: You can use the FOIL method to multiply. F - first two variables, so the two x.
x • x = x^2
O - outside, the outermost variables in the parenthesis, which would be x and 5.
x • 5 = 5x
I - inside, the innermost variables in the parenthesis, which would be x and 3.
x • 3 = 3x
L - last two variables, so 3 and 5.
3 • 5 = 15
Altogether:
x^2 + 5x + 3x + 15, which simplifies to x^2 + 8x + 15.
Image & example for clarity! Hope this helped!
1
Write an equation for the line parallel to the given line that contains C.
C(2,7); y=-3x+5
The equation of the parallel line is
(Use integers or fractions for any numbers in the equation. Simplify your answer.)
Answer:
Equation of line is given as y = mx + c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient so gradient of line is -3.
Equation of line is y = -3x + c.
Substitute C(2,7) into the equation to find c.
7 = -3(2) + c
c = 13
Hence, equation of line is y = -3x + 13.
What is the value of this expression? 5/6 - (1/8 divided by 3/4)
As given by the question
There are given that a expression
Now,
Simplify the above expression
[tex]\begin{gathered} \frac{5}{6}-(\frac{1}{8}\times\frac{4}{3})=\frac{5}{6}-\frac{1}{6} \\ =\frac{5-1}{6} \\ =\frac{4}{6} \\ =\frac{2}{3} \end{gathered}[/tex]Hence, the value of the given expression is shown below:
[tex]\frac{2}{3}[/tex]Nathan earns $6.50 an hour, plus tips, as a waiter in a restaurant. Suppose he works 26 hours in a week. How much money in tips must he receive to earn at least $229?
If Nathan earns $6.50 an hour, plus tips, as a waiter in a restaurant, and he worked for 26 hours, then he must receive $60 in tips, to earn a total of $229 in that time period.
As per the question statement, Nathan earns $6.50 an hour, plus tips, as a waiter in a restaurant, and he worked for 26 hours.
We are required to calculate the amount of tips Nathan must receive to earn a total of $229, working for 26 hours.
To solve this question, we will first calculate the amount Nathan can earn from his regular salary rate, working for 26 hours, and then subtract that amount from $229 which he earned as his salary from the restaurant plus his tips while working for those 26 hours.
Therefore, Nathan will earn $(26 * 6.50) = $169 in his regular salary from the restaurant working for 26 hours.
But since Nathan earned a total of $229 working at the restaurant for the same 26 hours, the extra money over his salary must be the amount he earned in tips.
Therefore, Nathan received $(229 - 169) = $60 in tips, to earn a total of $229 working for 26 hours at the restaurant.
Hour: An hour is an unit of time, measured as twenty-fourth part of a full day (day and night), which is further divided into 60 sub units, known as minutes.Time-Period: In general Science, particularly in Physics, and also in our day-to-day life, the length of time during which an activity occurs or a condition remains is known as the Time-Period.
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through: (1,-4), slope =-6
Answer:
y = -6x + 2
Step-by-step explanation:
(1, -4) m = -6
(x₁, y₁)
y - y₁ = m (x - x₁)
y - (-4)= -6 (x - 1)
y + 4 = -6x + 6
-4 -4
------------------------
y = -6x + 2
I hope this helps!
